Jack and Vincent started jogging from the same point. Vincent started jogging 4 minutes earlier than Jack. Jack's jogging speed was 500 m/min and Vincent's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.

1. How long did it take for Jack to catch up with Vincent? 
2. What distance would Vincent have jogged when Jack caught up with him?  Express your answer in meters.

	Jack	Vincent
Speed	500 m/min	250 m/min
Start time		4 min earlier
Extra distance covered at first		1000 m

(a)
Distance that Vincent covered when he jogged 4 minutes earlier
= 4 x 250
= 1000 m

Distance that Jack covered more than Vincent per min
= 500 - 250
= 250 m

Time that Jack needed to take to cover the additional 1000 m
= 1000 ÷ 250
= 4 min

(b)
Time that Vincent would had jogged when Jack caught up with him
= 4 + 4
= 8 min

Distance that Vincent would have jogged when Jack caught up with him
= 8 x 250
= 2000 m

Answer(s): (a) 4 min; (b) 2000 m